Abstract
Starting from the classical problem of Calculus of Variations, a new type of variations on admissible curves is introduced. This enables us to derive new necessary conditions for optimality which are generalizations of the classical Euler and Weierstrass Necessary Conditions.
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References
V. F. Demyanov “Calculus of Variations in a Nonsmooth Presentation” — to be published in the Proceedings of the International School “Nonsmooth Optimization: Methods and Applications”, Erice/Sicily 19–30 June 1991
V. F. Demyanov, V. N. Malozemov “Introduction to Minimax”, J. Wiley, New York, 1974
S. F. Shcherbatyuk “Minimax problems in Calculus of Variations”, Vestnik of Leningrad University, N4 (22) (1991)
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© 1992 Springer-Verlag Berlin Heidelberg
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Demyanov, V.F. (1992). Nonsmooth Problems in Calculus of Variations. In: Oettli, W., Pallaschke, D. (eds) Advances in Optimization. Lecture Notes in Economics and Mathematical Systems, vol 382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51682-5_15
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DOI: https://doi.org/10.1007/978-3-642-51682-5_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55446-2
Online ISBN: 978-3-642-51682-5
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